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Lesson 1 (Unit Rates)
- 1. Name Numeracy Skill Builder: Long Division Write any remainders as fractions and reduce. Date 3 25 8 506 6 1227 4 8030 Objectives 1. Find a Unit Rate 2. Compare by using Unit 1 1 1 1 Rates 8 63 204 2007 3 4 2 2 Concept 1: Find a Unit Rate Basic Proficient Advanced I need 24 dollars for 6 sandwiches. I need 18 cups of flour for 8 loaves of I need 2 teaspoons of salt for 60 Find and reduce the unit rate. bread. Find and reduce the unit rate. cookies. Find and reduce the unit rate. 1 1 4 dollars per sandwich 2 cups per loaf teaspoon per cookie 4 30 Concept 2: Compare by using Unit Rates Basic Proficient Advanced Andrew drives 150 miles in 4 hours. Andrew drives 120 miles in 2 hours. Andrew drives 228 miles in 4 hours. How fast does he drive? Erika drives 196 miles in 3 hours. Erika drives 281 miles in 5 hours. Who drives faster? Who drives faster and by how much? 1 1 1 A : 60 mph E : 65 mph A : 57 mph E : 56 mph 37 miles per hour 3 5 2 4 Erika drives faster. Andrew drives faster by mph 5
- 2. How fast doeshe drive? Erika drives 196 miles in 3 hours. Erika drives 281 miles in 5 hours. Who drives faster? Who drives faster and by how much? Test Prep 3 Work / Explanation 1. Which number is the additive inverse of - ? 5 A 5 C 3 Additive inverse = opposite. - 3 5 ( )+( )=0 B - 5 D 3 Change the sign. 3 5 3 2. Which number is the multiplicative inverse of - ? 5 Multiplicative inverse = reciprocal. A 5 C 3 3 - 5 ( )•( )=1 B 5 D 3 Flip the fraction. - 3 5
- 3. How fast doeshe drive? Erika drives 196 miles in 3 hours. Erika drives 281 miles in 5 hours. Who drives faster? Who drives faster and by how much? Test Prep 3 Work / Explanation 1. Which number is the additive inverse of - ? 5 A 5 C 3 Additive inverse = opposite. - 3 5 ( )+( )=0 B - 5 D 3 Change the sign. 3 5 3 2. Which number is the multiplicative inverse of - ? 5 Multiplicative inverse = reciprocal. A 5 C 3 3 - 5 ( )•( )=1 B 5 D 3 Flip the fraction. - 3 5
- 4. How fast doeshe drive? Erika drives 196 miles in 3 hours. Erika drives 281 miles in 5 hours. Who drives faster? Who drives faster and by how much? Test Prep 3 Work / Explanation 1. Which number is the additive inverse of - ? 5 A 5 C 3 Additive inverse = opposite. - 3 5 ( )+( )=0 B - 5 D 3 Change the sign. 3 5 3 2. Which number is the multiplicative inverse of - ? 5 Multiplicative inverse = reciprocal. A 5 C 3 3 - 5 ( )•( )=1 B 5 D 3 Flip the fraction. - 3 5
- 5.
- 7. 24.12 ounces 36.5 ounces
- 8. 24.12 ounces 36.5 ounces .331 24.12 7.99
- 9. 24.12 ounces 36.5 ounces .331 24.12 7.99 Each ounce costs 33.1 cents
- 10. 24.12 ounces 36.5 ounces .331 .247 24.12 7.99 36.5 8.99 Each ounce costs 33.1 cents
- 11. 24.12 ounces 36.5 ounces .331 .247 24.12 7.99 36.5 8.99 Each ounce costs 33.1 cents Each ounce costs 24.7 cents
- 12. 24.12 ounces 36.5 ounces .331 .247 24.12 7.99 36.5 8.99 Each ounce costs 33.1 cents Each ounce costs 24.7 cents
- 13. 24.12 ounces 36.5 ounces .331 .247 24.12 7.99 36.5 8.99 Each ounce costs 33.1 cents Each ounce costs 24.7 cents
- 14. Main Concept UnitRates
- 15. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. =
- 16. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet =
- 17. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet = 5 presents
- 18. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet = 5 presents
- 19. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet = 5 presents more or less than 1 whole?
- 20. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet = 5 presents more or less than 1 whole? 5 8
- 21. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet = 5 presents more or less than 1 whole? 1 5 8
- 22. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet = 5 presents more or less than 1 whole? 1 5 8 −5
- 23. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet = 5 presents more or less than 1 whole? 1 5 8 −5 3
- 24. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet = 5 presents more or less than 1 whole? 3 1 5 8 −5 3
- 25. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet = 5 presents more or less than 1 whole? 3 15 5 8 −5 3
- 26. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet 3 = 1 5 presents 5 more or less than 1 whole? 3 15 5 8 −5 3
- 27. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet 3 feet = 1 5 presents 5 present more or less than 1 whole? 3 15 5 8 −5 3
- 28. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet 3 feet 3 = 1 = 1 5 presents 5 present 5 more or less than 1 whole? 3 15 5 8 −5 3
- 29. Find Unit Rate Ineed 8 feet of wrapping paper to wrap 5 presents. 8 feet 3 feet 3 = 1 = 1 feet per present 5 presents 5 present 5 more or less than 1 whole? 3 15 5 8 −5 3
- 30. Find Unit Rate Irun 3 miles in 21 minutes. =
- 31. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles =
- 32. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles = 21 minutes
- 33. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles = 21 minutes
- 34. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles = 21 minutes more or less than 1 whole?
- 35. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles = 21 minutes more or less than 1 whole? 3 21
- 36. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles = 21 minutes more or less than 1 whole? 3 ÷3 21
- 37. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles = 21 minutes more or less than 1 whole? 3 ÷3 21 ÷3
- 38. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles = 21 minutes more or less than 1 whole? 3 ÷3 1 = 21 ÷3 7
- 39. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles 1 = 21 minutes 7 more or less than 1 whole? 3 ÷3 1 = 21 ÷3 7
- 40. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles 1 mile = 21 minutes 7 minute more or less than 1 whole? 3 ÷3 1 = 21 ÷3 7
- 41. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles 1 mile 1 = = 21 minutes 7 minute 7 more or less than 1 whole? 3 ÷3 1 = 21 ÷3 7
- 42. Find Unit Rate Irun 3 miles in 21 minutes. 3 miles 1 mile 1 = = mile per minute 21 minutes 7 minute 7 more or less than 1 whole? 3 ÷3 1 = 21 ÷3 7
- 43. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? =
- 44. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars =
- 45. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months
- 46. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months
- 47. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months more or less than 1 whole?
- 48. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months more or less than 1 whole? 3 400
- 49. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 1 more or less than 1 whole? 3 400
- 50. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 1 more or less than 1 whole? 3 400 −3
- 51. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 1 more or less than 1 whole? 3 400 −3 1
- 52. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 1 more or less than 1 whole? 3 400 −3 10
- 53. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 13 more or less than 1 whole? 3 400 −3 10
- 54. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 13 more or less than 1 whole? 3 400 −3 10 −9
- 55. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 13 more or less than 1 whole? 3 400 −3 10 −9 1
- 56. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 13 more or less than 1 whole? 3 400 −3 10 −9 10
- 57. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 13 3 more or less than 1 whole? 3 400 −3 10 −9 10
- 58. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 13 3 more or less than 1 whole? 3 400 −3 10 −9 10 −9
- 59. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 13 3 more or less than 1 whole? 3 400 −3 10 −9 10 −9 1
- 60. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars = 3 months 1 13 3 3 more or less than 1 whole? 3 400 −3 10 −9 10 −9 1
- 61. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars 133 1 = 3 months 3 1 13 3 3 more or less than 1 whole? 3 400 −3 10 −9 10 −9 1
- 62. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars 133 1 dollars = 3 months 3 month 1 13 3 3 more or less than 1 whole? 3 400 −3 10 −9 10 −9 1
- 63. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars 133 1 dollars 1 = = 133 3 months 3 month 1 3 13 3 3 more or less than 1 whole? 3 400 −3 10 −9 10 −9 1
- 64. Find Unit Rate Toanswer a “how fast” question, use a unit rate. I save 400 dollars every 3 months. How fast is my bank account growing? 400 dollars 133 1 dollars 1 dollars per = = 133 3 months 3 month 1 3 month 13 3 3 more or less than 1 whole? 3 400 −3 10 −9 10 −9 1
- 65. Find Unit Rate Ineed 3 cups of sugar for 2 cakes. Find the unit rate. I spend $265 every 4 weeks. Find the unit rate. A tree grows 4 inches in 12 years. How fast is it growing? I drive 228 miles in 5 hours. How fast am I driving?
- 66. Find Unit Rate Ineed 3 cups of sugar for 2 cakes. Find the unit rate. 1 1 cups per cake 2 I spend $265 every 4 weeks. Find the unit rate. A tree grows 4 inches in 12 years. How fast is it growing? I drive 228 miles in 5 hours. How fast am I driving?
- 67. Find Unit Rate Ineed 3 cups of sugar for 2 cakes. Find the unit rate. 1 1 cups per cake 2 I spend $265 every 4 weeks. Find the unit rate. 1 66 dollars per week 4 A tree grows 4 inches in 12 years. How fast is it growing? I drive 228 miles in 5 hours. How fast am I driving?
- 68. Find Unit Rate Ineed 3 cups of sugar for 2 cakes. Find the unit rate. 1 1 cups per cake 2 I spend $265 every 4 weeks. Find the unit rate. 1 66 dollars per week 4 A tree grows 4 inches in 12 years. How fast is it growing? 1 inch per year 3 I drive 228 miles in 5 hours. How fast am I driving?
- 69. Find Unit Rate Ineed 3 cups of sugar for 2 cakes. Find the unit rate. 1 1 cups per cake 2 I spend $265 every 4 weeks. Find the unit rate. 1 66 dollars per week 4 A tree grows 4 inches in 12 years. How fast is it growing? 1 inch per year 3 I drive 228 miles in 5 hours. How fast am I driving? 3 45 miles per hour 5
- 70. Comparing Quantities Samantha ran96 meters in 40 seconds. Juan ran 110 meters in 50 seconds. Who ran faster?
- 71. Comparing Quantities Samantha ran96 meters in 40 seconds. Juan ran 110 meters in 50 seconds. Who ran faster? Samantha
- 72. Comparing Quantities Samantha ran96 meters in 40 seconds. Juan ran 110 meters in 50 seconds. Who ran faster? Samantha 96 meters = 40 seconds
- 73. Comparing Quantities Samantha ran96 meters in 40 seconds. Juan ran 110 meters in 50 seconds. Who ran faster? Samantha 96 meters 2 = 2 40 seconds 5
- 74. Comparing Quantities Samantha ran96 meters in 40 seconds. Juan ran 110 meters in 50 seconds. Who ran faster? Samantha 96 meters 2 = 2 meters per second 40 seconds 5
- 75. Comparing Quantities Samantha ran96 meters in 40 seconds. Juan ran 110 meters in 50 seconds. Who ran faster? Samantha 96 meters 2 = 2 meters per second 40 seconds 5 Juan
- 76. Comparing Quantities Samantha ran96 meters in 40 seconds. Juan ran 110 meters in 50 seconds. Who ran faster? Samantha 96 meters 2 = 2 meters per second 40 seconds 5 Juan 110 meters = 50 seconds
- 77. Comparing Quantities Samantha ran96 meters in 40 seconds. Juan ran 110 meters in 50 seconds. Who ran faster? Samantha 96 meters 2 = 2 meters per second 40 seconds 5 Juan 110 meters 1 = 2 50 seconds 5
- 78. Comparing Quantities Samantha ran96 meters in 40 seconds. Juan ran 110 meters in 50 seconds. Who ran faster? Samantha 96 meters 2 = 2 meters per second 40 seconds 5 Juan 110 meters 1 = 2 meters per second 50 seconds 5
- 79. Comparing Quantities Samantha ran96 meters in 40 seconds. Juan ran 110 meters in 50 seconds. Who ran faster? Samantha 96 meters 2 = 2 meters per second 40 seconds 5 Juan 110 meters 1 = 2 meters per second 50 seconds 5 They were very close, but Samantha ran faster by 1/5 of a meter every second.
- 80. Comparing Quantities Noemi ran105 meters in 30 seconds. Mirian ran 112 meters in 40 seconds. Who ran faster? My tomato plants grow 4 inches in 10 months. My pepper plants grow 3 inches in 6 months. Which grows faster? Francisco earned $74 in 8 hours. Jasmine earned $105 in 12 hours. Who has a better paying job?
- 81. Comparing Quantities Noemi ran105 meters in 30 seconds. Mirian ran 112 meters in 40 seconds. Who ran faster? 1 4 Noemi: 3 metersper second Mirian: 2 metersper second 2 5 My tomato plants grow 4 inches in 10 months. My pepper plants grow 3 inches in 6 months. Which grows faster? Francisco earned $74 in 8 hours. Jasmine earned $105 in 12 hours. Who has a better paying job?
- 82. Comparing Quantities Noemi ran105 meters in 30 seconds. Mirian ran 112 meters in 40 seconds. Who ran faster? 1 4 Noemi: 3 metersper second Mirian: 2 metersper second 2 5 My tomato plants grow 4 inches in 10 months. My pepper plants grow 3 inches in 6 months. Which grows faster? Francisco earned $74 in 8 hours. Jasmine earned $105 in 12 hours. Who has a better paying job?
- 83. Comparing Quantities Noemi ran105 meters in 30 seconds. Mirian ran 112 meters in 40 seconds. Who ran faster? 1 4 Noemi: 3 metersper second Mirian: 2 metersper second 2 5 My tomato plants grow 4 inches in 10 months. My pepper plants grow 3 inches in 6 months. Which grows faster? 2 1 Tomato: inch per month Pepper: inch per month 5 2 Francisco earned $74 in 8 hours. Jasmine earned $105 in 12 hours. Who has a better paying job?
- 84. Comparing Quantities Noemi ran105 meters in 30 seconds. Mirian ran 112 meters in 40 seconds. Who ran faster? 1 4 Noemi: 3 metersper second Mirian: 2 metersper second 2 5 My tomato plants grow 4 inches in 10 months. My pepper plants grow 3 inches in 6 months. Which grows faster? 2 1 Tomato: inch per month Pepper: inch per month 5 2 Francisco earned $74 in 8 hours. Jasmine earned $105 in 12 hours. Who has a better paying job?
- 85. Comparing Quantities Noemi ran105 meters in 30 seconds. Mirian ran 112 meters in 40 seconds. Who ran faster? 1 4 Noemi: 3 metersper second Mirian: 2 metersper second 2 5 My tomato plants grow 4 inches in 10 months. My pepper plants grow 3 inches in 6 months. Which grows faster? 2 1 Tomato: inch per month Pepper: inch per month 5 2 Francisco earned $74 in 8 hours. Jasmine earned $105 in 12 hours. Who has a better paying job? 1 3 Francisco: 9 dollars per hour Jasmine: 8 dollars per hour 4 4
- 86. Comparing Quantities Noemi ran105 meters in 30 seconds. Mirian ran 112 meters in 40 seconds. Who ran faster? 1 4 Noemi: 3 metersper second Mirian: 2 metersper second 2 5 My tomato plants grow 4 inches in 10 months. My pepper plants grow 3 inches in 6 months. Which grows faster? 2 1 Tomato: inch per month Pepper: inch per month 5 2 Francisco earned $74 in 8 hours. Jasmine earned $105 in 12 hours. Who has a better paying job? 1 3 Francisco: 9 dollars per hour Jasmine: 8 dollars per hour 4 4